Functions and Linearity
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function?
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
Tags
CCSS.8.F.A.1
2.
FLASHCARD QUESTION
Front
Which of the following sets of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)
Back
(6,-5) (7, -3) (8, -1) (9, 1) is a function because each first element (x-value) is unique.
Tags
CCSS.8.F.A.1
3.
FLASHCARD QUESTION
Front
Is the equation y = 4x^4 + 8 a linear function?
Back
No, it is a nonlinear function because it contains a variable raised to a power greater than 1.
Tags
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What characterizes a linear function?
Back
A linear function is characterized by a constant rate of change and can be represented by a straight line on a graph.
Tags
CCSS.HSF-LE.A.1B
5.
FLASHCARD QUESTION
Front
What is the general form of a linear function?
Back
The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear function?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.
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